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statistics about vehicle arrival?
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds.
What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)?
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What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)?
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What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?
1 Answer
- jafLv 510 years agoFavorite Answer
The distribution is f(x)=(1/14) exp(-x/14)
The first probability is the integral from 0 to 12 of f(x)=.5756
The second is the integral from 0 to 6 of f(x)=.3486
The third is the integral from 30 to infinity or 1-integral from 0 to 30=1-.8827=.1173